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Finding the Fourth Proportional to 437.62, 659.58 and 377.48

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Solution

The fourth proportional to 437.62, 659.58 and 377.48 is: 568.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.62 : 659.58 = 377.48 : x
  2. Step 2: Convert to fraction form
    437.62/659.58 = 377.48/x
  3. Step 3: Cross multiply
    437.62x = 659.58 × 377.48
  4. Step 4: Simplify right side
    437.62x = 248,978.26
  5. Step 5: Solve for x
    x = 248,978.26/437.62
  6. Step 6: Final answer
    x = 568.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.